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Finding the Fourth Proportional to 6,151.82, 8,490.04 and 5,029.63

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Solution

The fourth proportional to 6,151.82, 8,490.04 and 5,029.63 is: 6,941.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.82 : 8,490.04 = 5,029.63 : x
  2. Step 2: Convert to fraction form
    6,151.82/8,490.04 = 5,029.63/x
  3. Step 3: Cross multiply
    6,151.82x = 8,490.04 × 5,029.63
  4. Step 4: Simplify right side
    6,151.82x = 42,701,726.09
  5. Step 5: Solve for x
    x = 42,701,726.09/6,151.82
  6. Step 6: Final answer
    x = 6,941.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.